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MultiSensorTest.md

MultiSensorTest ​

A test circuit designed to verify the behavior of a MultiSensor component within a series R-C circuit driven by a sinusoidal voltage source.

This component models an electrical test bench. A VoltageSource, whose voltage Vin(t) is dictated by a BlockComponents.Sine signal generator, applies a sinusoidal voltage to a circuit. This circuit comprises a Resistor (R) in series with a Capacitor (C). The MultiSensor component, which is the device under test, is placed to measure the current i(t) flowing through the resistor and capacitor, and the voltage vC(t) across the capacitor. The Ground component provides a common reference potential (0 V). The circuit dynamics are governed by the differential equation for the capacitor voltage vC(t): RCdvC(t)dt+vC(t)=Vin(t) and the current is i(t)=CdvC(t)dt. The MultiSensor is expected to report vC(t) as its voltage measurement and i(t) as its current measurement.

Usage ​

MultiSensorTest()

Behavior ​

[source.y(t)=voltage.V(t)connect(voltage+p,resistor+p)connect(resistor+n,multisensor+pc)connect(multisensor+nc,capacitor+p)connect(capacitor+n,voltage+n,ground+g)connect(capacitor+p,multisensor+pv)connect(capacitor+n,multisensor+nv)source.y(t)=ifelse(source.start_time<t,source.offset+source.amplitudesin⁡(source.phase+6.2832source.frequency(−source.start_time+t)),source.offset)voltage.v(t)=voltage.p.v(t)−voltage.n.v(t)voltage.i(t)=voltage.p.i(t)voltage.p.i(t)+voltage.n.i(t)=0voltage.v(t)=voltage.uVvoltage.V(t)resistor.v(t)=−resistor.n.v(t)+resistor.p.v(t)resistor.i(t)=resistor.p.i(t)resistor.p.i(t)+resistor.n.i(t)=0resistor.v(t)=resistor.Rresistor.i(t)capacitor.v(t)=capacitor.p.v(t)−capacitor.n.v(t)capacitor.i(t)=capacitor.p.i(t)capacitor.p.i(t)+capacitor.n.i(t)=0capacitor.Cdcapacitor.v(t)dt=capacitor.i(t)ground.g.v(t)=0multi_sensor.power(t)=multi_sensor.voltage_sensor.v(t)multi_sensor.current_sensor.i(t)multi_sensor.i(t)=multi_sensor.current_sensor.i(t)multi_sensor.v(t)=multi_sensor.voltage_sensor.v(t)connect(pv,voltagesensor+p)connect(voltagesensor+n,nv)connect(pc,currentsensor+p)connect(currentsensor+n,nc)multi_sensor.voltage_sensor.p.i(t)=0multi_sensor.voltage_sensor.n.i(t)=0multi_sensor.voltage_sensor.v(t)=−multi_sensor.voltage_sensor.n.v(t)+multi_sensor.voltage_sensor.p.v(t)multi_sensor.current_sensor.p.v(t)=multi_sensor.current_sensor.n.v(t)multi_sensor.current_sensor.p.i(t)=multi_sensor.current_sensor.i(t)multi_sensor.current_sensor.n.i(t)=−multi_sensor.current_sensor.i(t)]

Source ​

dyad
# A test circuit designed to verify the behavior of a MultiSensor component within
# a series R-C circuit driven by a sinusoidal voltage source.
#
# This component models an electrical test bench. A `VoltageSource`, whose voltage
# $V_{in}(t)$ is dictated by a `BlockComponents.Sine` signal generator, applies a
# sinusoidal voltage to a circuit.
# This circuit comprises a `Resistor` (R) in series with a `Capacitor` (C).
# The `MultiSensor` component, which is the device under test, is placed to measure
# the current $i(t)$ flowing through the resistor and capacitor, and the voltage
# $v_C(t)$ across the capacitor. The `Ground` component provides a common reference
# potential (0 V).
# The circuit dynamics are governed by the differential equation for the capacitor
# voltage $v_C(t)$: $R C \frac{d v_C(t)}{dt} + v_C(t) = V_{in}(t)$ and
# the current is $i(t) = C \frac{d v_C(t)}{dt}$.
# The `MultiSensor` is expected to report $v_C(t)$ as its voltage measurement and
# $i(t)$ as its current measurement.
test component MultiSensorTest
  # Signal generator providing a sinusoidal input waveform with specified offset, amplitude, and frequency.
  source = BlockComponents.Sine(offset=1, amplitude=10, frequency=5)
  # Ideal voltage source component; its voltage is controlled by an external signal.
  voltage = VoltageSource()
  # Resistor component with a resistance value R=1 Ohm.
  resistor = Resistor(R=1)
  # Capacitor component with a capacitance value C=1 Farad.
  capacitor = Capacitor(C=1)
  # Electrical ground component, providing a zero-volt reference potential.
  ground = Ground()
  # The multi-functional sensor component under test; it measures voltage, current and calculates power.
  multi_sensor = MultiSensor()
relations
  connect(source.y, voltage.V)
  connect(voltage.p, resistor.p)
  connect(resistor.n, multi_sensor.pc)
  connect(multi_sensor.nc, capacitor.p)
  connect(capacitor.n, voltage.n, ground.g)
  connect(capacitor.p, multi_sensor.pv)
  connect(capacitor.n, multi_sensor.nv)
metadata {
  "Dyad": {
    "tests": {
      "case1": {
        "stop": 20,
        "initial": {"capacitor.v": 10},
        "expect": {
          "final": {
            "multi_sensor.i": "0.31784799",
            "multi_sensor.v": "0.682152",
            "multi_sensor.power": "0.216820646"
          }
        }
      }
    }
  }
}
end
Flattened Source
dyad
# A test circuit designed to verify the behavior of a MultiSensor component within
# a series R-C circuit driven by a sinusoidal voltage source.
#
# This component models an electrical test bench. A `VoltageSource`, whose voltage
# $V_{in}(t)$ is dictated by a `BlockComponents.Sine` signal generator, applies a
# sinusoidal voltage to a circuit.
# This circuit comprises a `Resistor` (R) in series with a `Capacitor` (C).
# The `MultiSensor` component, which is the device under test, is placed to measure
# the current $i(t)$ flowing through the resistor and capacitor, and the voltage
# $v_C(t)$ across the capacitor. The `Ground` component provides a common reference
# potential (0 V).
# The circuit dynamics are governed by the differential equation for the capacitor
# voltage $v_C(t)$: $R C \frac{d v_C(t)}{dt} + v_C(t) = V_{in}(t)$ and
# the current is $i(t) = C \frac{d v_C(t)}{dt}$.
# The `MultiSensor` is expected to report $v_C(t)$ as its voltage measurement and
# $i(t)$ as its current measurement.
test component MultiSensorTest
  # Signal generator providing a sinusoidal input waveform with specified offset, amplitude, and frequency.
  source = BlockComponents.Sine(offset=1, amplitude=10, frequency=5)
  # Ideal voltage source component; its voltage is controlled by an external signal.
  voltage = VoltageSource()
  # Resistor component with a resistance value R=1 Ohm.
  resistor = Resistor(R=1)
  # Capacitor component with a capacitance value C=1 Farad.
  capacitor = Capacitor(C=1)
  # Electrical ground component, providing a zero-volt reference potential.
  ground = Ground()
  # The multi-functional sensor component under test; it measures voltage, current and calculates power.
  multi_sensor = MultiSensor()
relations
  connect(source.y, voltage.V)
  connect(voltage.p, resistor.p)
  connect(resistor.n, multi_sensor.pc)
  connect(multi_sensor.nc, capacitor.p)
  connect(capacitor.n, voltage.n, ground.g)
  connect(capacitor.p, multi_sensor.pv)
  connect(capacitor.n, multi_sensor.nv)
metadata {
  "Dyad": {
    "tests": {
      "case1": {
        "stop": 20,
        "initial": {"capacitor.v": 10},
        "expect": {
          "final": {
            "multi_sensor.i": "0.31784799",
            "multi_sensor.v": "0.682152",
            "multi_sensor.power": "0.216820646"
          }
        }
      }
    }
  }
}
end


Test Cases ​

Test Case case1 ​